I'd like to form a "running sheet" for an event that is likely to change, so I'd like LaTeX to keep track of the calculations for me if the programme changes. I imagined storing a "start" time, having a counter "duration" set for each section, and using LaTeX to add these two so that the result is still a valid clock time for the start of the next section. This would continue for each element in sequence. For example, 2pm "start", 10 minute intro "duration", leads to a printed time for the next item of 2:10pm (the pm is not necessary). That way, if someone decides they can/cannot give a speech as part of the opening, we don't have the tedious business of changing all of the timings. I also don't want to have to manually ensure that the passing of 60 minutes actually increments the hour.
I've looked at datetime2 and some other packages, and it's not obvious how you would add to the stored date, but I admit that normally I use R for imposing some requirements on date formats. I'd prefer to not have to have an R script to do this and then import the text to a LaTeX doc. Any suggestions to create something like what I describe are welcome.

Sweaveorknitr? And Rstudio? You do not must " have an R script to do this and then import the text to a LaTeX", just a singlefilename.Rnwfile with Latex code including the R chunks between lines with<<>>=and@, so you write "a <- 2+3; a" but is printed just "5" or you can use a LaTeX commands as\Sexpr{a+60}wherea+60is obviously a R (S) expression using theafrom previous R code. There are many examples in this site about this. Compilation sequence (.Rnw > .tex > .pdf) is done automatically with Rstudio. – Fran May 25 '17 at 06:43